Atkin-Lehner |
2+ 3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050bg |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-39065674325625000 = -1 · 23 · 311 · 57 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14224,9488198] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:1621:1] [-108:2641:1] |
Generators of the group modulo torsion |
j |
20371021481231/2500203156840 |
j-invariant |
L |
8.8726113376772 |
L(r)(E,1)/r! |
Ω |
0.27962174945527 |
Real period |
R |
0.24038456485826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010p1 |
Quadratic twists by: 5 |